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Q1) 50 students are enrolled in Economics class. After first examination, a random Sample of 5 papers had the following grades: 60, 75, 80, 70, and 90.
a) Compute the standard error.
b) Find out 90% confidence interval for mean grade of all the students in the class.
c) What is the margin of error?
Q2) New brand of breakfast cereal is being market tested. 100 boxes of cereal were given to consumers to try. Consumers were asked whether they liked or disliked the cereal. You are given their responses below.
Response
Frequency
Liked
60
Disliked
40
100
a) What is the point estimate of the proportion of people who like cereal?
b) Create a 95% confidence interval for proportion of all consumers who will like the cereal.
c) Determine the margin of error for 95% confidence interval that you constructed in part b?
The grade point averages for 10 randomly selected high school students are listed below. Assume the grade point averages are normally distributed.
When combining probabilities, to find the probability of one event AND another event, the separate probabilities should be:
Based on this sample information, create a 90% confidence interval for population mean yearly premium.
Test whether there is a statistical difference between the two proportions at the 5% significance level.
X has a normal distribution with a mean of 80.0 and a standard deviation of 3.5. Find the following probabilities.
Muscular dystrophy is an incurable muscle-wasting disease. The most common and serious type, called DMD, is caused by a sex-linked recessive mutation. Specifically; women can be carriers but do not get the disease; a son of a carrier has probabili..
At the .01 significance level, is there a difference in the use of the four entrances?
How many boxes must the processor sample to be 95 percent confident that the sample mean does not differ from the population mean by more than 0.2 pounds?
Find out the crude death rate, age specific death rate, standard death rate and adjusted death rate.
determine if the improvement is of practical significance one should. Crop researchers plant 100 plots with a new variety of corn. The average yield for these plots is x' = 130 bushels per acre
What is the probability that a particular driver had exactly two speeding violations?
Suppose that the results of the sample lead to rejection of the null hypothesis. Classify that conclusion as a:
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